This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned ll
#define f first
#define s second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pb push_back
#define epb emplace_back
using namespace std;
const int nmax = 10000001;
vector <int> bit(nmax);
const ll mod = 1e9 + 7;
int lsb(int x){
return x & -x;
}
void add(int pos, int v, int n){
while(pos <= n){
bit[pos] += v;
pos += lsb(pos);
}
}
int get(int pos){
int res = 0;
while(pos){
res += bit[pos];
pos -= lsb(pos);
}
return res;
}
int main(){
int n; cin >> n;
int p[n + 1];
for(int i = 1; i <= n ;++i)
cin >> p[i];
map <int,int> mp;
int b[n + 1];
for(int i = 1;i <= n ;i++){
b[i] = p[i];
}
sort(b + 1, b + 1 + n);
for(int i = 1; i <= n; i++){
mp[b[i]] = i;
}
for(int i = 1; i <= n; ++i){
add(i, 1, n);
p[i] = mp[p[i]];
}
ll fact[n + 1];
fact[0] = 1;
for(int i = 1; i <= n; i++){
fact[i] = fact[i - 1] * (ll)i % mod;
}
ll curans = 1;
for(int i = 1; i <= n; i++){
int x = p[i];
ll o = get(x - 1);
curans += fact[n - i] * o;
curans %= mod;
add(x, -1, n);
}
cout << curans << "\n";
return 0;
}
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